Magma V2.19-8 Tue Aug 20 2013 16:18:28 on localhost [Seed = 3381155065] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2668 geometric_solution 5.93319862 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.002984026827 0.958605415390 0 5 6 5 0132 0132 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.058624068533 1.338115558550 4 0 3 3 3120 0132 3012 0132 0 0 0 0 0 1 -1 0 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 -1 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.289815885017 0.204961012439 5 2 2 0 3012 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435723329554 0.826980856592 6 5 0 2 1023 2031 0132 3120 0 0 0 0 0 0 -1 1 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.481145829971 0.619984407094 4 1 1 3 1302 0132 2031 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.489160162101 1.084508965636 6 4 6 1 2031 1023 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.252212217932 0.716788365933 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0101_0'], 'c_1100_4' : negation(d['c_0101_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0101_2']), 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_0']), 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_2'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_3'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : negation(d['c_0101_0']), 'c_1010_0' : negation(d['c_0011_3'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 373163/29074*c_0101_3^9 + 2451557/58148*c_0101_3^8 + 604157/14537*c_0101_3^7 + 11817507/58148*c_0101_3^6 + 20139129/58148*c_0101_3^5 - 5714790/14537*c_0101_3^4 - 8284595/14537*c_0101_3^3 + 8873767/58148*c_0101_3^2 + 3007733/14537*c_0101_3 - 1798003/58148, c_0011_0 - 1, c_0011_3 - 24389/14537*c_0101_3^9 + 87415/14537*c_0101_3^8 + 53973/14537*c_0101_3^7 + 368014/14537*c_0101_3^6 + 539661/14537*c_0101_3^5 - 937427/14537*c_0101_3^4 - 868156/14537*c_0101_3^3 + 511052/14537*c_0101_3^2 + 296704/14537*c_0101_3 - 75695/14537, c_0011_4 + 57656/14537*c_0101_3^9 - 186882/14537*c_0101_3^8 - 208401/14537*c_0101_3^7 - 869990/14537*c_0101_3^6 - 1586887/14537*c_0101_3^5 + 1936415/14537*c_0101_3^4 + 2903619/14537*c_0101_3^3 - 957718/14537*c_0101_3^2 - 1081301/14537*c_0101_3 + 176808/14537, c_0101_0 - 24389/14537*c_0101_3^9 + 87415/14537*c_0101_3^8 + 53973/14537*c_0101_3^7 + 368014/14537*c_0101_3^6 + 539661/14537*c_0101_3^5 - 937427/14537*c_0101_3^4 - 868156/14537*c_0101_3^3 + 511052/14537*c_0101_3^2 + 282167/14537*c_0101_3 - 75695/14537, c_0101_1 + 30579/14537*c_0101_3^9 - 97927/14537*c_0101_3^8 - 117994/14537*c_0101_3^7 - 451500/14537*c_0101_3^6 - 857278/14537*c_0101_3^5 + 1050447/14537*c_0101_3^4 + 1640744/14537*c_0101_3^3 - 599636/14537*c_0101_3^2 - 649410/14537*c_0101_3 + 131402/14537, c_0101_2 - 24233/14537*c_0101_3^9 + 78240/14537*c_0101_3^8 + 88850/14537*c_0101_3^7 + 364825/14537*c_0101_3^6 + 674786/14537*c_0101_3^5 - 808607/14537*c_0101_3^4 - 1220809/14537*c_0101_3^3 + 421156/14537*c_0101_3^2 + 444547/14537*c_0101_3 - 90627/14537, c_0101_3^10 - 4*c_0101_3^9 - c_0101_3^8 - 13*c_0101_3^7 - 16*c_0101_3^6 + 52*c_0101_3^5 + 23*c_0101_3^4 - 48*c_0101_3^3 - 5*c_0101_3^2 + 14*c_0101_3 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB